Factorization of selfadjoint quadratic matrix polynomials with real spectrum

DOI10.1080/03081089508818400zbMath0830.15007OpenAlexW2081670128MaRDI QIDQ4854478

Ilya Krupnik, Peter Lancaster, Alexander Markus

Publication date: 14 November 1995

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081089508818400

zbMATH Keywords

eigenvalueseigenvectorsreal spectrumfactorizationregular selfadjoint quadratic matrix polynomials

Mathematics Subject Classification ID

Factorization of matrices (15A23) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)

Related Items (3)

Algorithms for hyperbolic quadratic eigenvalue problems ⋮ Inverse problems for Hermitian quadratic matrix polynomials ⋮ A generalization of the inertia theorem for quadratic matrix polynomials

Cites Work

• Spectral analysis of selfadjoint matrix polynomials
• Low rank perturbations of strongly definitizable transformations and matrix polynomials
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